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X^2-78125X-390625=0
a = 1; b = -78125; c = -390625;
Δ = b2-4ac
Δ = -781252-4·1·(-390625)
Δ = 6105078125
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{6105078125}=\sqrt{390625*15629}=\sqrt{390625}*\sqrt{15629}=625\sqrt{15629}$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-78125)-625\sqrt{15629}}{2*1}=\frac{78125-625\sqrt{15629}}{2} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-78125)+625\sqrt{15629}}{2*1}=\frac{78125+625\sqrt{15629}}{2} $
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